Question

[Hà Thị Mai Hương]

So Sánh

A=\(\frac{11}{2017}+\frac{4}{2019}và\)B=\(\frac{10}{2017}+\frac{10}{2019}\)

Answer 1

[Đậu Nguyễn Khánh Ly]

     

\(A=\frac{2016^{2016}+1}{2016^{2017}+1}\Rightarrow2016A=\frac{2016^{2017}+2016}{2016^{2017}+1}=1+\frac{2015}{2016^{2017}+1}\)

\(B=\frac{2016^{2017}-3}{2016^{2018}-3}\Rightarrow2016B=\frac{2016^{2018}-6048}{2016^{2018}-3}=1+\frac{-6045}{2016^{2018}-3}\)

Vì \(\frac{2015}{2016^{2017}+1}>0;\frac{-6045}{2016^{2018}-3}< 0\)

Nên: A>B